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Título: | Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates |
Autor: | Corps, Á.L. CSIC ORCID; Relaño, Armando CSIC ORCID CVN | Palabras clave: | Physics - Statistical Mechanics Quantum Physics |
Fecha de publicación: | 9-mar-2023 | Editor: | American Physical Society | Citación: | Physical Review Letters 130: 100402 (2023) | Resumen: | We present a theory for the two kinds of dynamical quantum phase transitions, termed DPT-I and DPT-II, based on a minimal set of symmetry assumptions. In the special case of collective systems with infinite-range interactions, both are triggered by excited-state quantum phase transitions. For quenches below the critical energy, the existence of an additional conserved charge, identifying the corresponding phase, allows for a nonzero value of the dynamical order parameter characterizing DPTs-I, and precludes the main mechanism giving rise to nonanalyticities in the return probability, trademark of DPTs-II. We propose a statistical ensemble describing the long-time averages of order parameters in DPTs-I, and provide a theoretical proof for the incompatibility of the main mechanism for DPTs-II with the presence of this additional conserved charge. Our results are numerically illustrated in the fully connected transverse-field Ising model, which exhibits both kinds of dynamical phase transitions. Finally, we discuss the applicability of our theory to systems with finite-range interactions, where the phenomenology of excited-state quantum phase transitions is absent. We illustrate our findings by means of numerical calculations with experimentally relevant initial states. | Descripción: | 7 pags., 4 figs. | Versión del editor: | https://doi.org/10.1103/PhysRevLett.130.100402 | URI: | http://hdl.handle.net/10261/332333 | DOI: | 10.1103/PhysRevLett.130.100402 | ISSN: | 0031-9007 |
Aparece en las colecciones: | (CFMAC-IEM) Artículos |
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PRL_CorpsAL_RelañoA_2023.pdf | Artículo principal | 951,75 kB | Adobe PDF | Visualizar/Abrir |
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